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http://dx.doi.org/10.4134/CKMS.c210138

COEFFICIENT ESTIMATES FOR FUNCTIONS ASSOCIATED WITH VERTICAL STRIP DOMAIN  

Bulut, Serap (Faculty of Aviation and Space Sciences Kocaeli University)
Publication Information
Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 537-549 More about this Journal
Abstract
In this paper, we consider a convex univalent function fα,β which maps the open unit disc 𝕌 onto the vertical strip domain Ωα,β = {w ∈ ℂ : α < ℜ < (w) < β} and introduce new subclasses of both close-to-convex and bi-close-to-convex functions with respect to an odd starlike function associated with Ωα,β. Also, we investigate the Fekete-Szegö type coefficient bounds for functions belonging to these classes.
Keywords
Analytic and univalent function; bi-univalent function; close-toconvex function; starlike function; subordination principle; Fekete-Szego problem;
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1 S. P. Goyal and P. Goswami, On certain properties for a subclass of close-to-convex functions, J. Class. Anal. 1 (2012), no. 2, 103-112. https://doi.org/10.7153/jca-01-11   DOI
2 J. Kowalczyk and E. Les-Bomba, On a subclass of close-to-convex functions, Appl. Math. Lett. 23 (2010), no. 10, 1147-1151. https://doi.org/10.1016/j.aml.2010.03.004   DOI
3 Z.-G. Wang and D.-Z. Chen, On a subclass of close-to-convex functions, Hacet. J. Math. Stat. 38 (2009), no. 2, 95-101.
4 Z. Wang, C. Gao, and S. Yuan, On certain subclass of close-to-convex functions, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 22 (2006), no. 2, 171-177.
5 P. Zaprawa, Estimates of initial coefficients for bi-univalent functions, Abstr. Appl. Anal. 2014 (2014), Art. ID 357480, 6 pp. https://doi.org/10.1155/2014/357480   DOI
6 P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften, 259, Springer-Verlag, New York, 1983.
7 C. Gao and S. Zhou, On a class of analytic functions related to the starlike functions, Kyungpook Math. J. 45 (2005), no. 1, 123-130.
8 S. P. Goyal and O. Singh, Certain subclasses of close-to-convex functions, Vietnam J. Math. 42 (2014), no. 1, 53-62. https://doi.org/10.1007/s10013-013-0032-4   DOI
9 F. R. Keogh and E. P. Merkes, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20 (1969), 8-12. https://doi.org/10.2307/2035949   DOI
10 K. Kuroki and S. Owa, Notes on new class for certain analytic functions, RIMS Kokyuroku 1772 (2011), 21-25.
11 M. Lewin, On a coefficient problem for bi-univalent functions, Proc. Amer. Math. Soc. 18 (1967), 63-68. https://doi.org/10.2307/2035225   DOI
12 V. Ravichandran, A. Gangadharan, and M. Darus, Fekete-Szego inequality for certain class of Bazilevic functions, Far East J. Math. Sci. (FJMS) 15 (2004), no. 2, 171-180.
13 W. Rogosinski, On the coefficients of subordinate functions, Proc. London Math. Soc. (2) 48 (1943), 48-82. https://doi.org/10.1112/plms/s2-48.1.48   DOI
14 Q.-H. Xu, H. M. Srivastava, and Z. Li, A certain subclass of analytic and close-to-convex functions, Appl. Math. Lett. 24 (2011), no. 3, 396-401. https://doi.org/10.1016/j.aml.2010.10.037   DOI
15 B. A. Uralegaddi, M. D. Ganigi, and S. M. Sarangi, Univalent functions with positive coefficients, Tamkang J. Math. 25 (1994), no. 3, 225-230.   DOI
16 B. S,eker and S. S. Eker, On subclasses of bi-close-to-convex functions related to the odd-starlike functions, Palest. J. Math. 6 (2017), Special Issue II, 215-221.